Glass and Jamming Transitions: From Exact Results to Finite-Dimensional Descriptions

dc.contributor.author

Charbonneau, P

dc.contributor.author

Kurchan, J

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Parisi, G

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Urbani, P

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Zamponi, F

dc.date.accessioned

2017-04-01T20:26:40Z

dc.date.available

2017-04-01T20:26:40Z

dc.date.issued

2017-04-01

dc.description.abstract

Despite decades of work, gaining a first-principle understanding of amorphous materials remains an extremely challenging problem. However, recent theoretical breakthroughs have led to the formulation of an exact solution in the mean-field limit of infinite spatial dimension, and numerical simulations have remarkably confirmed the dimensional robustness of some of the predictions. This review describes these latest advances. More specifically, we consider the dynamical and thermodynamic descriptions of hard spheres around the dynamical, Gardner and jamming transitions. Comparing mean-field predictions with the finite-dimensional simulations, we identify robust aspects of the description and uncover its more sensitive features. We conclude with a brief overview of ongoing research.

dc.format.extent

5 figures, 26 pages

dc.identifier

http://arxiv.org/abs/1605.03008v2

dc.identifier.uri

https://hdl.handle.net/10161/13922

dc.publisher

Annual Reviews

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10.1146/annurev-conmatphys-031016-025334

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cond-mat.dis-nn

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cond-mat.dis-nn

dc.title

Glass and Jamming Transitions: From Exact Results to Finite-Dimensional Descriptions

dc.type

Journal article

duke.contributor.orcid

Charbonneau, P|0000-0001-7174-0821

pubs.author-url

http://arxiv.org/abs/1605.03008v2

pubs.organisational-group

Chemistry

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Duke

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Physics

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Trinity College of Arts & Sciences

pubs.publisher-url

http://dx.doi.org/10.1146/annurev-conmatphys-031016-025334

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